This paper introduces a double-quantum solid-state NMR experiment for
determining torsion angles in unoriented polymers which contain segmen
ts with pairs of C-13-labeled sites separated by only one or two bonds
. By double-quantum excitation and evolution, two-dimensional spectra
are obtained in which the first dimension displays the sum of the anis
otropic chemical shifts. As a consequence, the two-dimensional spectra
l patterns depend on the relative orientation of the coupled sites and
thus on the torsion angle. The double-quantum approach achieves homon
uclear dipolar decoupling in the first dimension without multiple-puls
e sequences and removes the natural-abundance background signal. The e
xperiment is demonstrated on polyethylene isotopically labeled with di
lute (similar to 4%) C-13-C-13 spin pairs and confirms the all-trans s
tructure in the crystalline regions. In polypeptides, it will be appli
cable to the determination of the backbone torsion angle psi in a doub
ly C-13-labeled amino acid residue, with a sensitivity to analyze one
residue in a repeat unit comprising up to 20 residues.